42072429 has 24 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 23951424.

The previous prime is 42072421. The next prime is 42072431. The reversal of 42072429 is 92427024.

It is not a de Polignac number, because 42072429 - 2³ = 42072421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42072396 and 42072405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42072421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73657 + ... + 74225.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^42072429 is an apocalyptic number.

42072429 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42072429 is a deficient number, since it is larger than the sum of its proper divisors (23427411).

42072429 is a wasteful number, since it uses less digits than its factorization.

42072429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42072429 is about 6486.3263100156. The cubic root of 42072429 is about 347.8023633373.

The spelling of 42072429 in words is "forty-two million, seventy-two thousand, four hundred twenty-nine".